A stochastic Trotter integration scheme for dissipative particle dynamics

TL;DR

This paper introduces a stochastic Trotter integration scheme for dissipative particle dynamics (DPD), addressing stochastic subtleties and demonstrating improved accuracy by eliminating spurious correlations compared to existing methods.

Contribution

The paper presents a novel stochastic Trotter integrator for DPD, with detailed derivation and analysis of its advantages over previous schemes.

Findings

No spurious spatial correlations in ideal gas simulations

Improved accuracy over existing DPD integrators

Analytic insights into stochastic dynamics

Abstract

In this article we show in details the derivation of an integration scheme for the dissipative particle dynamic model (DPD) using the stochastic Trotter formula [De Fabritiis et al., Physica A, 361, 429 (2006)]. We explain some subtleties due to the stochastic character of the equations and exploit analyticity in some interesting parts of the dynamics. The DPD-Trotter integrator demonstrates the inexistence of spurious spatial correlations in the radial distribution function for an ideal gas equation of state. We also compare our numerical integrator to other available DPD integration schemes.